Congrats man. I've been in edtech for the last 15 years. I was working on something similar (socratic method, 1:1 LLM <-> student, skills based) but joined a company and had to shelve it due to a non-compete.

You've picked one hell of a time to enter the K12 market. 1:1 device backlash, AI tool scrutiny hightening, teacher exhaustion, no recovery in sight for the recent funding cliff.

Your pilot model is the way to go. My favorite tools all grew out of that model. Stay patient, listen to the early users, encourage them to spread the word. Dont' be above grinding it out at a table at some of the smaller regional educaitonal confreneces.

Sounds like you're already doing this but take IXL head on. They are ripe for the picking.

Good luck!